9514 1404 393
Answer:
- Mark: s = 200 +20j
- Ryan: s = 350 +15j
- 30 jobs
Step-by-step explanation:
The amount in savings (s) will be the initial amount plus the product of the pay per job and the number of jobs (j).
<u>Mark</u>
He initially has $200, and is paid $20 per job. His savings will be ...
s = 200 +20j
<u>Ryan</u>
He initially has $350, and is paid $15 per job. His savings will be ...
s = 350 +15j
<u>Same Savings</u>
The savings will be the same when the difference between the amounts is zero:
s - s = 0
(200 +20j) -(350 +15j) = 0 . . . . . substitute the expressions for s
-150 +5j = 0 . . . . . collect terms
-30 +j = 0 . . . . . . . divide by 5
j = 30 . . . . . . add 30
The brothers will have the same amount in savings after they each work 30 jobs.
First, we get the length of the runway in which the pilot had seen a 45° by using the trigonometric formula of tangent.
tan 45° = 1,500 / x
The value of x from the equation is 1500 ft.
We do the same for the 42°
tan 42° = 1,500 / y
The value of y is equal to 1665.92 ft. To determine the length of the runway, we subtract the lengths calculated and this will give us an answer of 165.92 ft.
First, 90 minutes will equal 1.5 hours. And I have the formula for this is distance=time×speed, so I just take 25 divided 1.5 to get the speed she is riding which equal 16 2/3 miles per hour. Hope it help!
We already have our 2 numbers, meaning that all we need to do is put the numerator in the numerators' place and denominator in the denominators' place.
40/50 can be simplified.
20/25
4/5
Aidan got 4/5 question correct on his test.
If you need help, comment below and ill try my best to help you out!
